What will be the ratio of the amounts invested among Aaryan, Shashank and Yuvi ?

Question

A man invests an amount of Rs 15860 in the name of his three sons Aaryan, Shashank and Yuvi in such a way that they get the same interest after 2, 3 and 4 years respectively.
If the rate of simple interest is 5% then what will be the ratio of the amounts invested among Aaryan, Shashank and Yuvi ?

Answer 1

6:4:3

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Let the amounts be x, y & z
x+y+z=15860
10% of x= 15 % of y = 20 % of z
x:y:z=?

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2x=3y=4z--> x=2z, y=4/3z
x+y+z= 2z+4/3z+z=(6z+4z+3z)/3
the ratio will be 6:4:3
7320+4880+3660=15860
7320*0.1=4880*0.15=3660*0.2=732